Boolean convolution of probability measures on the unit circle

Details Boolean convolution of probability measures on the unit circle Boolean convolution of probability measures on the unit circle

2004-03-15

arxiv.org/abs/math/0403243v2

Analyse et probabilit\'es, S\'eminaires et Congr\`es 16, p. 83-93, 2009

Mathematics

Functional Analysis

13 pages, to appear in volume 15 of Seminaires et Congres

Scientific paper

We introduce the boolean convolution for probability measures on the unit
circle. Roughly speaking, it describes the distribution of the product of two
boolean independent unitary random variables. We find an analogue of the
characteristic function and determine all infinitely divisible probability
measures on the unit circle for the boolean convolution.

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